Optimal Design of Passive Power Filter Using Multi-Objective Pareto-Based Firefly Algorithm and Analysis Under Background and Load-Side’s Nonlinearity

Abstract

In this paper, the optimal designing of passive power filter (PPF) is formulated as a multiobjective optimization (MOO) problem under several constraints of system's performance indices (PIs) such as individual as well as total harmonic distortion (THD) in the line current and the point of common coupling's (PCC) voltage, distribution line's ampacity under harmonic currents overloading, steady-state voltage profile, load power factor (PF) and a few associated with the filter itself. The optimal design parameters of a third-order damped filter are simultaneously determined for achieving maximum PF at the PCC while keeping system's other indices such as total demand distortion (TDD) in the line current, total voltage harmonic distortion (TVHD) at the PCC and total filter cost (FC) incurred at a minimum by obtaining a best-compromised solution using the newly proposed multi-objective Pareto-based firefly algorithm (pb-MOFA). A novel MOO approach inspired by the modified firefly algorithm and Pareto front is established in order to deal with PPF design problems. The extension of MOFA is considered for producing the Pareto optimal front and various conclusions are drawn by analysing the trade-offs among the objectives. The efficiency and accuracy of the proposed pb-MOFA, in solving the concerned MOO problem, is validated by comparing an obtained solution and three computed PIs viz. convergence metric (CM), generational distance (GD) and diversity metric (DM) with those obtained from popular multi-objective Pareto-based PSO (pb-MOPSO), non-dominated sorting genetic algorithm (NSGA-II) and recently introduced multi-objective slime mould algorithm (MOSMA). The need for true Pareto front (TPF) is served by the one obtained by Monte Carlo method. At last, the impacts of different background voltage distortion (BVD) levels and load-side's nonlinearity levels (NLLs) on filter performance are analysed.

Performance assessment of hybrid active filtering technique to enhance the hosting capacity of distorted grids for renewable energy systems

“…No doubt that significant research contributions are made by both, 33,34 toward basic HC assessment, factors affecting HC, and its enhancement by PPFs but the efficacy assessment of harmonic compensator, in meeting the desired objective, is not given due to emphasis. The literature suggests that harmonic compensation effectiveness of PPFs largely depends on factors such as the utility-side's BVD, the load-side's NLL, source's stiffness, and so on in the intact system 35,36 and therefore the effectiveness to the objective of HC enhancement also.…”

“…And last but not least, the utility-side's BVD level and the load-side's NLL at the PCC are two factors that play a crucial role in deciding the filtering effectiveness, as well as economic aspects of the passive filtering approach. 35,36 Quite obviously, the aforementioned system factors, those that affect the filtering performance of PPFs, also effects the renewable energy penetration level achieved by the same. 41 Conversely, an active filtering solution is relatively more reliable than PPFs and autonomously delivers superior performance along with evading most of the issues that arise in the passive filtering approach.…”

A single index for voltage quality ranking in the distribution power networks using multiple criteria decision‐making

“…Besides that, in the case of a harmonically contaminated delivery system, cable ampacities become a major problem due to the “skin effect.” According to IEEE standard 519, total voltage harmonic distortion (TVHD) factor is employed to quantify voltage harmonic distortion at the separate bus level. In compliance with IEEE standard 519, the thresholds for TVHD are set at 5% 35,36 . TVHD index is calculated using Equation (10) on each bus. …”

A Method for Designing and Optimizing the Electrical Parameters of Dynamic Tuning Passive Filter

“…The results are affected by the power source impedance, which tends to trigger series resonance and parallel resonance [8]. Inspired by the nature of PPF, many researchers have explored effective ways to solve relevant problems, including the enhanced bacterial foraging optimization (EBFO) algorithm [9], fractional-order quaternion-valued neural networks with neutral delays and external disturbance [10], a differential evolution algorithm [11], an analytical method for calculation [12], and a multi-objective optimization algorithm [13,14]. In particular, the conservative power theory has been proposed to evaluate parameters associating with product quality, aiming to obtain subsidies for the design of tuned passive filters through focusing on the reduction of harmonic distortion indices regarding voltage and current.…”